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3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

3 0

Answer:

1. f(x) = -2x^2-12x-19

2. f(x)= 2x^2+12x+17

3. f(x)= -2x^2+12x-17

4. f(x)= 2x^2-12x+17

Step-by-step explanation:

Just took the same test. :)

gayaneshka [121]3 years ago

3 0

Answer:

the other persons answer is correct

Step-by-step explanation:

I took the test too

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Martin has 38 dollars.raymond had x fewer dollars than Martin . Choose the expression that shows how much money Raymond has

horsena [70]

Answer: x < 38

Step-by-step explanation: Raymond has less money than Martin but you don’t know how much. So you use the less than sign to show that it’s less than 38 dollars

6 0

3 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

X^2+2x-5=0 quadratic form

julsineya [31]

Answer:

-1+√6

-1-√6

Step-by-step explanation:

x²+2x-5=0

x=(-2±√(2²-4(-5)))/2=(-2±√(4+20))/2=(-2±√24)/2

x₁=(-2+√24)/2 or x₂=(-2-√24)/2

x₁=(-2+2√6)/2 or (-2-2√6)/2

x₁=-1+√6 or x₂=-1-√6

3 0

3 years ago

Tamia's family traveled 5/8 of the distance to her grandfather's house on Saturday. They traveled 1/3 of the remaining distance

antoniya [11.8K]

Answer:

2/8

Step-by-step explanation:

Tamila traveled 5/8 of the distance to her grandmother house on Saturday

They traveled 1/3 of the remaining distance on Sunday

Therefore the total distance traveled to her grandmother's house on Sunday can be calculated as follows

5+1

= 6

8-6

= 2

2/8

Hence the distance travelled is 2/8

8 0

3 years ago

There are 8 volunteers during the weekday and only 5 volunteers on the

MaRussiya [10]

Answer:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

Step-by-step explanation:

Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:

10: 8

1: 1

10 - 8 = 2

Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

6 0

3 years ago

Read 2 more answers